ESP Biography

How many primes are there? INFINITELY MANY! How many different ways can you prove that? INFINITELY MANY! Unfortunately, Splash isn’t infinitely long, so we’ll only have time to cover $$\infty - 1$$ ways.

Mathematical induction is one of three key methods of proof, and is a powerful tool for every mathematician. Its most basic use is in the proofs of identities such as $$0+1+2+3+\cdots+n=\frac{n(n+1)}{2}$$, but its full power extends far beyond that, into all realms of mathematics. Induction can even be used to prove that all pigs are yellow*. *Note: It is not actually true that all pigs are yellow. The proof has a hidden flaw in it. Can you figure it out? Take our class and give it a try!

Ever wondered how Google Maps finds a route so quickly, or how the Watson computer is smart enough to play Jeopardy? Well, we won't answer those questions but we will learn about algorithms, and we'll probably end up "creating" an algorithm along the way.